38345120 has 48 divisors (see below), whose sum is σ = 98830368. Its totient is φ = 13943040.

The previous prime is 38345119. The next prime is 38345161. The reversal of 38345120 is 2154383.

It is a self number, because there is not a number n which added to its sum of digits gives 38345120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9134 + ... + 12653.

It is an arithmetic number, because the mean of its divisors is an integer number (2058966).

Almost surely, 2^38345120 is an apocalyptic number.

It is an amenable number.

38345120 is an abundant number, since it is smaller than the sum of its proper divisors (60485248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38345120 is a wasteful number, since it uses less digits than its factorization.

38345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21813 (or 21805 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 38345120 is about 6192.3436597140. The cubic root of 38345120 is about 337.2122687141.

The spelling of 38345120 in words is "thirty-eight million, three hundred forty-five thousand, one hundred twenty".